One-sided Mullins-Sekerka flow does not preserve convexity.
Mayer, Uwe F. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Mayer, Uwe F. (1993)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Miroslav Kolář, Michal Beneš, Daniel Ševčovič (2014)
Mathematica Bohemica
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The paper presents the results of numerical solution of the evolution law for the constrained mean-curvature flow. This law originates in the theory of phase transitions for crystalline materials and describes the evolution of closed embedded curves with constant enclosed area. It is reformulated by means of the direct method into the system of degenerate parabolic partial differential equations for the curve parametrization. This system is solved numerically and several computational...
Henri Anciaux (2002-2003)
Séminaire de théorie spectrale et géométrie
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Yuki Miyamoto, Takeyuki Nagasawa, Fumito Suto (2009)
Kybernetika
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The gradient flow of bending energy for plane curve is studied. The flow is considered under two kinds of constraints; one is under the area and total-length constraints; the other is under the area and local-length constraints. The fundamental results (the local existence and uniqueness) were obtained independently by Kurihara and the second author for the former one; by Okabe for the later one. For the former one the global existence was shown for any smooth initial curves, but the...
Beneš, M., Mikula, K. (1998)
Acta Mathematica Universitatis Comenianae. New Series
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Bates, Peter W., Chen, Xinfu, Deng, Xinyu (1995)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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